isometry (redirected from Isometric isomorphism)

isometry [ī′säm·ə·trē]

(mathematics)

A mapping ƒ from a metric spaceXto a metric spaceYwhere the distance between any two points ofXequals the distance between their images under ƒ inY.

A linear isomorphism σ of a vector spaceEonto itself such that, for a given bilinear formg, g(σx,σy)=g(x,y) for allxandyinE.

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(mathematics)

isometry - A mapping of a metric space onto another or onto itself so that the distance between any two points in the original space is the same as the distance between their images in the second space. For example, any combination of rotation and translation is an isometry of the plane.